Supersymmetry in 2 + 2 dimensions

F. T. Brandt; D. G.C. Mckeon; T. N. Sherry

doi:10.1142/S0217732300001833

Supersymmetry in 2 + 2 dimensions

F. T. Brandt, D. G.C. Mckeon, T. N. Sherry

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

9 Citations (Scopus)

Abstract

The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

Original language	English
Pages (from-to)	1349-1355
Number of pages	7
Journal	Modern Physics Letters A
Volume	15
Issue number	21
DOIs	https://doi.org/10.1142/S0217732300001833
Publication status	Published - 10 Jul 2000
Externally published	Yes

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title = "Supersymmetry in 2 + 2 dimensions",

abstract = "The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.",

author = "Brandt, \{F. T.\} and Mckeon, \{D. G.C.\} and Sherry, \{T. N.\}",

year = "2000",

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T1 - Supersymmetry in 2 + 2 dimensions

AU - Brandt, F. T.

AU - Mckeon, D. G.C.

AU - Sherry, T. N.

PY - 2000/7/10

Y1 - 2000/7/10

N2 - The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

AB - The analysis of spinors in 2 + 2 dimensions is reviewed. The two most basic supersymmetry algebras in this space are considered. In the simpler case, the supersymmetry generators are Majorana spinors. In the other algebra we consider, the supersymmetry generators are Dirac spinors. Consistency with having a positive definite Hilbert space is shown to be impossible in both of these particular cases.

UR - https://www.scopus.com/pages/publications/0034631614

U2 - 10.1142/S0217732300001833

DO - 10.1142/S0217732300001833

M3 - Article

SN - 0217-7323

VL - 15

SP - 1349

EP - 1355

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 21

ER -

Supersymmetry in 2 + 2 dimensions

Abstract

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